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Lady bird [3.3K]
3 years ago
6

3 erasers cost $4.41.

Mathematics
1 answer:
olasank [31]3 years ago
6 0
Y=1.47x

X is the number of erasers bought
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Gregory runs at a steady pace on his treadmill. In 2 hours, he runs 12 miles. The graph represents this situation. Which point w
iren2701 [21]

Answer:

6 miles per hour because 12 divided by 2 is 6

Step-by-step explanation:

5 0
3 years ago
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What is the answer to 8/? + 5/? = 7/?
disa [49]

Step-by-step explanation:

well, the first solution that comes to my mind is :

8/4 + 5/1 = 7/1

2 + 5 = 7

the reason : the only numerator I can "cut" into integer pieces is 8.

5 and 7 are prime numbers.

so, it tried to keep 5 and 7 whole, and then add a part of 8 to make this equation true. and that worked right away.

7 0
2 years ago
Simplify the expression
chubhunter [2.5K]

Answer:

  sin(α) -cos(α)

Step-by-step explanation:

\dfrac{2\sin^2{\alpha}-1}{\sin{\alpha}+\cos{\alpha}}=\dfrac{(2\sin^2{\alpha}-1)(\sin{\alpha}-\cos{\alpha})}{(\sin{\alpha}+\cos{\alpha})(\sin{\alpha}-\cos{\alpha})}\\\\=\dfrac{(2\sin^2{\alpha}-1)(\sin{\alpha}-\cos{\alpha})}{\sin^2{\alpha}-\cos^2{\alpha}}=\dfrac{(2\sin^2{\alpha}-1)(\sin{\alpha}-\cos{\alpha})}{\sin^2{\alpha}-(1-\sin^2{\alpha})}\\\\=\dfrac{(2\sin^2{\alpha}-1)(\sin{\alpha}-\cos{\alpha})}{2\sin^2{\alpha}-1}\\\\=\sin{\alpha}-\cos{\alpha}

4 0
3 years ago
Find a solution of the linear inequality. y ≥ 4x – 5 a. (1, 1) b. (2, 1) c. (3, 4) d. (3, 0)
frez [133]

Answer:

A(1,1)

Step-by-step explanation:

we have

y\geq 4x-5

we know that

If a ordered pair is a solution of the inequality

then

the ordered pair must be located on the shaded area of the solution of the inequality

Using a graphing tool  

Graph the inequality and plot the points

A(1,1),B(2,1),C(3,4),D(3,0)

see the attached figure

The point A is located on the shaded area

therefore

the point A is a solution of the inequality

7 0
2 years ago
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Bikes'R'Us manufactures bikes, which sell for $250. It costs the $180 per bike, plus a startup fee of $3,500. After how many bik
lions [1.4K]

<u>Answer:</u>

The bikes sold at break even by the manufacturer is 50 units

<u>Explanation:</u>

We know that break even point is given by  the following formula,

$\frac{\text { Fixed costs }}{\text { (Price per unit - Variable costs) }}$

We are given startup fee = $3500 which is the fixed cost,

the bikes sell for $250 which is the price per unit and

cost per bike is equal to $180

So substituting these values in the formula we get

= \frac{3500}{(250-180)}

= \frac{3500}{(70)}  = 50

= 50 units which is the number of bikes sold at break even by the manufacturer.

3 0
3 years ago
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